Finding the Fourth Proportional to 2,048.20, 2,826.53 and 1,164.00

Step by Step Solution

1. Step 1: Write the proportion equation
   2,048.20 : 2,826.53 = 1,164.00 : x
2. Step 2: Convert to fraction form
   2,048.20/2,826.53 = 1,164.00/x
3. Step 3: Cross multiply
   2,048.20x = 2,826.53 × 1,164.00
4. Step 4: Simplify right side
   2,048.20x = 3,290,090.06
5. Step 5: Solve for x
   x = 3,290,090.06/2,048.20
6. Step 6: Final answer
   x = 1,606.33